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Even more, shish with a larger size cannot be transformed to random coil entirely even subjected to annealing at 200 °C for 60 min, and thus re-crystallization via self-seeding is always observed on primary nuclei originated from shish structure.
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Let the random variable y with pdf p y) and CDF C y (y) can be transformed to a random variable ( widehat{x} = {T}_x y) ) with a probability density function ( {phi}_xleft widehat{x}right) ) and CDF ( {C}_xleft widehat{x}right) ) which is identical to that of the reference CDF, such as: {C}_y y) = {C}_xleft widehat{x}right) (1).
The formalized Standard Uniform random variable can be transformed to formalize other continuous random variables, such as Uniform, Exponential, Normal, etc., by using various non-uniform random number generation techniques.
Each u j can be transformed to a standard distributed random variable y j, by using the inverse of univariate Gaussian CDF ( {F}_{Nleft 0,1right)}^{-1} as shown in the following equation, {y}_j={F}_{Nleft 0,1right)}^{-1}left({u}_jright)={F}_{Nleft 0,1right)}^{-1}left({F}_{X_j}left({x}_jright)right)sim Nleft 0,1right).
In fact, the problem of covering a circle with random arcs can be transformed to the problem of covering a piece of line, say the interval, with random intervals.
For the calculations in this article, the moderated t-statistics are transformed to equivalent standard normal random variables (2) where F and F t are the cumulative distribution functions of the standard normal and t d 0+ d distributions, respectively.
In the present study, uniform random numbers are generated by dSFMT, and these random numbers are transformed to the normal distribution by the Box Muller method.
Both feedforward and feedback control are studied using a deterministic approach, where white noise is replaced by an impulse so that the active control of a stationary random disturbance is transformed to the active control of an impulse response.
Variables were transformed to normality, as possible.
Variables were transformed to attain normal distributions.
A logistic (random effects) model was used for the dichotomous outcome for each service in each care plan group and regression coefficients were transformed to odds ratios (OR).
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